5801824 has 48 divisors (see below), whose sum is σ = 13305600. Its totient is φ = 2438784.

The previous prime is 5801797. The next prime is 5801843. The reversal of 5801824 is 4281085.

It is a super-2 number, since 2×5801824² = 67322323453952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 5801792 and 5801801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12997 + ... + 13435.

It is an arithmetic number, because the mean of its divisors is an integer number (277200).

Almost surely, 2^5801824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5801824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652800).

5801824 is an abundant number, since it is smaller than the sum of its proper divisors (7503776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5801824 is a wasteful number, since it uses less digits than its factorization.

5801824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 5801824 is about 2408.6975733786. The cubic root of 5801824 is about 179.6890103314.

The spelling of 5801824 in words is "five million, eight hundred one thousand, eight hundred twenty-four".